2 7 You are given the following linear programming model in algebraic form, where x 1 and x 2 are the decision variables and Z is the value of the overall measure of performance Maximize Z x 1 2 x 2 subject to Constraint on resource 1 x 1 x 2 5 (amount available) Constraint on resource 2 x 1 3 x 2 9 (amount available) and x 1 0 x 2 0 a Identify the objective function, the functional constraints, and the nonnegativity constraints in this model b Incorporate this model into a spreadsheet c Is ( x 1 , x 2 ) (3, 1) a feasible solution d Is ( x 1 , x 2 ) (1, 3) a feasible solution e Use Solver to solve this model

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Question: 2.7. You are given the following linear programming model in algebraic form, where x 1 and x 2 are the decision variables and Z is

2.7.You are given the following linear programming model in algebraic form, wherex₁andx₂are the decision variables andZis the value of the overall measure of performance.

MaximizeZ=x₁+ 2x₂

subject to

Constraint on resource 1:x₁+x₂ 5 (amount available)

Constraint on resource 2:x₁+ 3x₂ 9 (amount available)

and

x₁ 0x₂ 0

a.Identify the objective function, the functional constraints, and the nonnegativity constraints in this model.

b.Incorporate this model into a spreadsheet.

c.Is (x₁,x₂) = (3, 1) a feasible solution?

d.Is (x₁,x₂) = (1, 3) a feasible solution?

e.Use Solver to solve this model.

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